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Finding the Third Proportional to 49,218,840 and 107,700,192

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Solution

The third proportional to 49,218,840 and 107,700,192 is: 235,668,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218,840 : 107,700,192 = 107,700,192 : x
  2. Step 2: Convert to fraction form
    49,218,840/107,700,192 = 107,700,192/x
  3. Step 3: Cross multiply
    49,218,840x = 107,700,192 × 107,700,192
  4. Step 4: Simplify right side
    49,218,840x = 11,599,331,356,836,864
  5. Step 5: Solve for x
    x = 11,599,331,356,836,864/49,218,840
  6. Step 6: Final answer
    x = 235,668,523.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.